Hyperbolic and exponential solutions to the coupled Sine-Gordon system

Abstract

In this paper, the improved Kudryashov method was used to produce new solitary solutions to the coupled Sine-Gordon system. In order, the wave transformation has been applied to convert NLPDE into nonlinear ordinary differential equations. Then, the new improved Kudryasov function method has been implemented to extract the soliton solutions of this system. This approach is efficient and strong for solving wide categories of NLEE.

Subject Classification:

• 34A34
• 65L05

Keywords:

• Kudryashov method
• Soliton solutions
• Riccati equation